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122
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JGT
2010
90views more  JGT 2010»
15 years 1 months ago
The rainbow connection of a graph is (at most) reciprocal to its minimum degree
An edge-colored graph G is rainbow edge-connected if any two vertices are connected by a path whose edges have distinct colors. The rainbow connection of a connected graph G, deno...
Michael Krivelevich, Raphael Yuster
124
Voted
STACS
2009
Springer
15 years 10 months ago
Hardness and Algorithms for Rainbow Connectivity
An edge-colored graph G is rainbow connected if any two vertices are connected by a path whose edges have distinct colors. The rainbow connectivity of a connected graph G, denoted ...
Sourav Chakraborty, Eldar Fischer, Arie Matsliah, ...
JCO
2011
113views more  JCO 2011»
14 years 10 months ago
Hardness and algorithms for rainbow connection
An edge-colored graph G is rainbow connected if any two vertices are connected by a path whose edges have distinct colors. The rainbow connection of a connected graph G, denoted r...
Sourav Chakraborty, Eldar Fischer, Arie Matsliah, ...
DM
2010
103views more  DM 2010»
15 years 3 months ago
Rainbow paths
A k-rainbow path in a graph with colored edges is a path of length k where each edge has a different color. In this note, we settle the problem of obtaining a constructive k-colori...
Domingos Dellamonica Jr., Colton Magnant, Daniel M...
179
Voted
GC
2011
Springer
14 years 10 months ago
Properly Edge-Coloured Subgraphs in Colourings of Bounded Degree
The smallest n such that every colouring of the edges of Kn must contain a monochromatic star K1,s+1 or a properly edge-coloured Kt is denoted by f(s, t). Its existence is guarant...
Klas Markström, Andrew Thomason, Peter Wagner...